Label each limit law description with its corresponding analytical representation. The limit of a sum of functions is the sum of each function's limit. The limit of a difference of functions is the difference of each function's limit. The limit of a product of functions is the product of each function's limit. The limit of a quotient of functions is the quotient of each function's limit. The limit of a root of a function is the root of the function's limit. The limit of a function raised to a power is the limit of the function raised to the power. The limit of a function multiplied by a constant is the constant times the limit of the function.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Label each limit law description with its corresponding analytical representation.
The limit of a sum of functions is the sum of each function's limit.
The limit of a difference of functions is the difference of each function's limit.
The limit of a product of functions is the product of each function's limit.
The limit of a quotient of functions is the quotient of each function's limit.
The limit of a root of a function is the root of the function's limit.
The limit of a function raised to a power is the limit of the function raised to the power.
The limit of a function multiplied by a constant is the constant times the limit of the function.
lim f(x) =
=
X-C
m
"(x))"
lim f (x)
X-C
Answer Bank
lim(k. f (x)) = k (lim f (x)
X-C
X-C
lim [f (x) + g (x)] = lim f (x) + lim g (x)
X-C
X-C
X→C
lim [f(x) · g(x)] = lim f (x) lim g (x)
X-C
X-C
X-C
limf (x):
-
X-C
lim
X→C
lim [f (x) - g (x)] = lim f (x) - lim g (x)
X-C
X-C
X-C
lim f (x)
X-C
f (x)
g
lim f (x)
X-C
lim g (x)
X-C
Transcribed Image Text:Label each limit law description with its corresponding analytical representation. The limit of a sum of functions is the sum of each function's limit. The limit of a difference of functions is the difference of each function's limit. The limit of a product of functions is the product of each function's limit. The limit of a quotient of functions is the quotient of each function's limit. The limit of a root of a function is the root of the function's limit. The limit of a function raised to a power is the limit of the function raised to the power. The limit of a function multiplied by a constant is the constant times the limit of the function. lim f(x) = = X-C m "(x))" lim f (x) X-C Answer Bank lim(k. f (x)) = k (lim f (x) X-C X-C lim [f (x) + g (x)] = lim f (x) + lim g (x) X-C X-C X→C lim [f(x) · g(x)] = lim f (x) lim g (x) X-C X-C X-C limf (x): - X-C lim X→C lim [f (x) - g (x)] = lim f (x) - lim g (x) X-C X-C X-C lim f (x) X-C f (x) g lim f (x) X-C lim g (x) X-C
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